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2 results

  • 9 - Surface Layer Integrals and Conservation Laws

  • from Part II - Causal Fermion Systems: Fundamental Structures
  • Felix Finster, Universität Regensburg, Germany, Sebastian Kindermann, Comenius Gymnasium Deggendorf, Germany, Jan‐Hendrik Treude, Universität Konstanz, Germany
  • Book:
    Causal Fermion Systems
    Published online:
    15 November 2025
    Print publication:
    23 October 2025, pp 171-189
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  • Summary

    Surface layer integrals are introduced as an adaptation of surface integrals to causal fermion systems and causal variational principles. Conservation laws are derived and formulated in terms of surface layer integrals.

  • 6 - Classical Field Theory

  • David Tong, University of Cambridge
  • Book:
    Electromagnetism
    Published online:
    26 June 2025
    Print publication:
    19 June 2025, pp 170-235

  • Summary

    In this chapter, we rewrite the Maxwell equations yet again, this time in the language of actions and Lagrangians that we introduced in the first book in this series. This provides many new perspectives on electromagnetism. Among the pay-offs are a deeper understanding, via Noether’s theorem, of the energy and momentum carried by electromagnetism fields. This will also allow us to explore a number of deeper ideas, including superconductivity, the Higgs mechanism, and topological insulators.